Effective Three-Body Interactions in Jaynes-Cummings-Hubbard Systems
Abstract
A generalisation of the Jaynes-Cummings-Hubbard model for coupled-cavity arrays is introduced, where the embedded two-level system in each cavity is replaced by a -type three-level system. We demonstrate that the resulting effective polariton-polariton interactions at each site are both two-body and three-body. By tuning the ratio of the two transition dipole matrix elements, we show that the strength and sign of the two-body interaction can be controlled whilst maintaining a three-body repulsion. We then proceed to demonstrate how different two-body and three-body interactions alter the mean field superfluid-Mott insulator phase diagram, with the possible emergence of a pair superfluid phase in the two-body attractive regime.
Cite
@article{arxiv.1710.02424,
title = {Effective Three-Body Interactions in Jaynes-Cummings-Hubbard Systems},
author = {Srivatsa B. Prasad and Andrew M. Martin},
journal= {arXiv preprint arXiv:1710.02424},
year = {2018}
}
Comments
10 pages, 4 figures, accepted for publication in Scientific Reports; v3 - revised manuscript